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The challenges become more complex when N and S atoms in particular are present as these atoms can exist in multiple valence states and thus increase the number of potential candidates to be considered [1]. Figure 21 relates the distribution of the molecular weights across the frequency of each challenge.
Although the restricted log-likelihood is suitable for constructing likelihood ratio tests for variance components provided the mean structure of the null and alternative models are the same [ 16], the standard asymptotic theory which relates the distribution of LRT statistic to a χ2 distribution under the null does not apply here.
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We relate the distribution characters and the wave front sets of unitary representation for real reductive dual pairs of type I in the stable range.
Species distribution models (SDMs) statistically relate the distribution of a given species with environmental factors, improving the understanding and prediction of the potential distribution of species in a specific territory (Elith and Leathwick 2009).
A full model would consist of determining P (Bi(xα, tβ)) = F (I (xρ, tσ)), relating the distribution of a subset of biota at one place and time to all biotic and abiotic factors considered at different places and times.
Menon (1954) related the distribution pattern of Himalayan fish to morphological characteristics which enable them to inhabit the torrential streams.
Relating the distribution of HR to their EmOC quality does not allow a direct comparison with other studies because of different methods used.
In order to relate the distribution of cases to the geographical distribution of the animal populations, maps illustrating the animal density per 3 digit postal code area were created.
This work uses the concept of statistical neutrality to relate these distributions to each other, relate the distributions to physical mixing configurations, and develop a systematic approach to model selection.
None of these studies, however, attempted to relate the tumour distribution to the distribution of radiodense tissue.
These textures are quantified by relating the intensity distribution for a (110) reflection to the orientation distribution of the crystals.
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